Question

the ratio of the volumes of two spheres is 27: 64, If the sum of their radii are 28cm .3.25 answer ​

Answer 1

Explanation:

Volume of a sphere =

3

4

πr

3

Given, ratio of their volumes is: V

1

:V

2

=27:64

3

4

πr

1

3

:

3

4

πr

3

2

h=27:64

r

1

3

:r

2

3

=27:64

=>r

1

:r

2

=3:4

Let >r

1

=3a;r

2

=4a

Given, r

1

+r

2

=28

=>3a+4a=28

7a=28

a=4

3a=12cm;4a=16cm

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Answer 2

Volume of a sphere = ¹³

Given, ratio of their volumes is: V₁ : V2 = 27: 64

4/3лг₁³:3²h = 27:64

r₁³:r₂³ = 27: 64

=> r₁ r₂ = 3:4

Let > r₁ = 3a; r₂ = 4a

Given, r1 + r2 = 28

=> 3a + 4a = 28

7a = 28

a = 4

3a = 12cm; 4a = 16cm